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Finding the Fourth Proportional to 6,522.26, 9,784.60 and 3,059.50

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Solution

The fourth proportional to 6,522.26, 9,784.60 and 3,059.50 is: 4,589.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,522.26 : 9,784.60 = 3,059.50 : x
  2. Step 2: Convert to fraction form
    6,522.26/9,784.60 = 3,059.50/x
  3. Step 3: Cross multiply
    6,522.26x = 9,784.60 × 3,059.50
  4. Step 4: Simplify right side
    6,522.26x = 29,935,983.70
  5. Step 5: Solve for x
    x = 29,935,983.70/6,522.26
  6. Step 6: Final answer
    x = 4,589.82

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.